Spacetime topology is the topological structure of spacetime, a topic studied primarily in general relativity. This physical theory models gravitation as the curvature of a four dimensional Lorentzian manifold (a spacetime) and the concepts of topology thus become important in analysing local as well as global aspects of spacetime. The study of spacetime topology is especially important in physical cosmology.
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Spacetimetopology is the topological structure of spacetime, a topic studied primarily in general relativity. This physical theory models gravitation...
cosmology, topology can be used to describe the overall shape of the universe. This area of research is commonly known as spacetimetopology. In condensed...
In physics, spacetime is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum...
A spacetime diagram is a graphical illustration of locations in space at various times, especially in the special theory of relativity. Spacetime diagrams...
that spacetime is fundamentally discrete (a collection of discrete spacetime points, called the elements of the causal set) and that spacetime events...
to the mathematics of curved spacetime Discrete differential geometry Gauss Glossary of differential geometry and topology Important publications in differential...
related the local spacetime curvature (expressed by the Einstein tensor) with the local energy, momentum and stress within that spacetime (expressed by the...
Minkowski spacetime contains a compact region Ω, and if the topology of Ω is of the form Ω ~ S × Σ, where Σ is a three-manifold of the nontrivial topology, whose...
primarily by its curvature, while the global geometry is characterised by its topology (which itself is constrained by curvature). General relativity explains...
physics, Minkowski space (or Minkowski spacetime) (/mɪŋˈkɔːfski, -ˈkɒf-/) is the main mathematical description of spacetime in the absence of gravitation. It...
Robert H. (1974), "Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions"...
cones representing the light tracking into and out of 0 ∈ A, suggest spacetimetopology. The light-like vectors of Minkowski space are null vectors. The four...
points, i.e. events of spacetime. To express the invariance of the speed of light in mathematical form, fix two events in spacetime, to be recorded in each...
Complex spacetime is a mathematical framework that combines the concepts of complex numbers and spacetime in physics. In this framework, the usual real-valued...
David R. (1994). "Calabi-Yau moduli space, mirror manifolds and spacetimetopology change in string theory". Nuclear Physics B. 416 (2): 414. arXiv:hep-th/9309097...
invariance of angular momentum, four-momentum, and other symmetries in spacetime, are described by the Lorentz group, or more generally the Poincaré group...
underlying continuous spacetime, and also a reformulation of quantum mechanics. He also hypothesises that the phenomena of topology change and the thermodynamics...
introduction to the mathematics of curved spacetime Bott, R. and Tu, L.W., 1982. Differential forms in algebraic topology (Vol. 82, pp. xiv+-331). New York:...
crystal configurations is equivalent to a path integral over changes in spacetimetopology supported in small regions with area of order the product of the string...
mathematical physics, the concept of quantum spacetime is a generalization of the usual concept of spacetime in which some variables that ordinarily commute...
six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that moves at a constant velocity relative to the former...
theory) and that its spacetime may have a multiply connected global topology, in analogy with the cylindrical or toroidal topologies of two-dimensional...
Lorentzian manifolds model spacetime in general relativity. The study of manifolds requires working knowledge of calculus and topology. After a line, a circle...
These play a role in the causal structure of spacetime. In the context of general relativity, a spacetime manifold is space orientable if, whenever two...
found necessary to describe electromagnetism. The four dimensions (4D) of spacetime consist of events that are not absolutely defined spatially and temporally...
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